Finding the Third Proportional to 31,702.50 and 74,972.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31,702.50 : 74,972.88 = 74,972.88 : x
2. Step 2: Convert to fraction form
   31,702.50/74,972.88 = 74,972.88/x
3. Step 3: Cross multiply
   31,702.50x = 74,972.88 × 74,972.88
4. Step 4: Simplify right side
   31,702.50x = 5,620,931,985.77
5. Step 5: Solve for x
   x = 5,620,931,985.77/31,702.50
6. Step 6: Final answer
   x = 177,302.48